3290
3290 is a even composite number that follows 3289 and precedes 3291. It is composed of 16 distinct factors: 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290. Its prime factorization can be written as 2 × 5 × 7 × 47. 3290 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3290 is represented as 110011011010 in binary and CDA in hexadecimal. Historically, it is written as MMMCCXC in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 7 × 47) reveals 4 prime building blocks.
Divisible by 2
3290 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
3290 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 14 is not a multiple of 9.
Divisible by 10
3290 ends in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 3290 within several notable number theory sequences:
Timeline
Deep dive
How 3290 breaks down
3290 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 3622, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110011011010 supports bitwise reasoning, hexadecimal CDA aligns with computing notation, and the Roman numeral MMMCCXC keeps the encyclopedic tradition alive. These attributes make 3290 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3290 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3285–3295) to tune search ranges, and educators feature 3290 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 3290 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 3290
Is 3290 a prime number?
3290 is composite with 16 total factors and the prime factorization 2 × 5 × 7 × 47.
What is the prime factorization of 3290?
It breaks down as 2 × 5 × 7 × 47, multiplying the primes 2 × 5 × 7 × 47.
How is 3290 represented in binary and hexadecimal?
3290 converts to 110011011010 in binary and CDA in hexadecimal, which are helpful for computer science applications.
Is 3290 a perfect square, cube, or triangular number?
3290 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3290?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.